Calculus help - logarithms?

Question

I need help doing these questions. I'm very confused, can someone show me how to do them with steps.

1. y = xe + e^(√x)
2. y = 3^(5-2x) log3(subscript) (5x^2)
3. y = Ln (√(x+1))/(x-1)
4. x^y = y^x
5. Find the equation of the tangent line to the curve y = Ln(Ln x) at x = e.

Answer 1

For number 4, its very easy, by using the basic rule of logs, Logո u=Log ս n if and only if n=u, the soltion of the problem is
x=y for all real numbers.

Answer 2

Except for the last(5) I don´t know what you are asking for
5) y(e) = ln(lne) = 0 as lne=1
y´(x) = 1/lnx*1/x
y´(e) = 1/e
so the tangent is
y=1/e(x-e)
y=1/e*x-1